Question

1. The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use x to represent the number of ride tickets and y to represent the total cost.
(a) Find the cost of admission to the fair. Explain how you found the cost of admission.

(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.

(c) Explain what the coefficient of x and the constant of your linear equation represents.

Answer:
 

Answer 1

Answer and explanation

a is $18.00 because Z is a constant

b is y=2.50x+18.00

c is that y=2.50x+z turns into y=$55.50 and then x=15 which we substitute

that leads to 55.50 =2.50(15)+z

and the untimely z = 18.00 dollars .